Least Common Multiple of 664/72, 145/7324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 664/72, 145/7324 quickly i.e. 24070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/72, 145/7324 is 24070.

LCM(664/72, 145/7324) = 24070

LCM of 664/72, 145/7324

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 664/72,145/7324

Given numbers are 664/72,145/7324

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 664,145

Least Common Multiple of Numerators i.e. LCM of 664,145 is 96280.

GCF of Denominators means GCF of 72,7324 as per the given fractions.

GCF of 72,7324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,145

LCM of Fractions 664/72,145/7324 is 24070

Given numbers has no common factors except 1. So, there LCM is their product i.e 96280

Least Common Multiple of 664,145 with GCF Formula

Least Common Multiple of 664,145 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 664,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,145) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(664,145) x common factors =1 x 1 = 1

LCM(664,145) = ( 664 × 145 ) / 1

LCM(664,145) = 96280 / 1

LCM(664,145) = 96280


Lets's calculate GCF of 72,7324

2 72, 7324
2 36, 3662
18, 1831

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96280/4

Therefore the LCM of Fractions 664/72,145/7324 is 24070

Greatest Common Factor of 72,7324 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7324 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1,2,4,1831,3662,7324

Greatest Common Factor

We found the factors 72,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7324 is 4.


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Frequently Asked Questions on Fractional LCM of 664/72, 145/7324

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 664/72, 145/7324?

Answer: LCM of Numerators as per given numbers 664/72, 145/7324 is

LCM of Numerators i.e. for 664,145 is 96280

GCF of denominators i.e. for 72,7324 is 4.

Thus, LCM of Fractions is 24070.Finally, LCM of Fractions for 664/72, 145/7324 is 24070.